-
Notifications
You must be signed in to change notification settings - Fork 106
/
yilmindexvector.1
38 lines (38 loc) · 1.26 KB
/
yilmindexvector.1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
.\" Automatically generated by Pandoc 2.7.3
.\"
.TH "yilmindexvector" "1" "2019-09-12" "Fortran 95" "SHTOOLS 4.5"
.hy
.SH YilmIndexVector
.PP
Compute the index of an 1D array of spherical harmonic coefficients
corresponding to \f[C]i\f[R], \f[C]l\f[R], and \f[C]m\f[R].
.SH Usage
.PP
\f[C]index\f[R] = YilmIndex (\f[C]i\f[R], \f[C]l\f[R], \f[C]m\f[R])
.SH Parameters
.TP
.B \f[C]index\f[R] : output, integer
Index of an 1D array of spherical harmonic coefficients corresponding to
\f[C]i\f[R], \f[C]l\f[R], and \f[C]m\f[R].
.TP
.B \f[C]i\f[R] : input, integer
1 corresponds to the cosine coefficient \f[C]cilm(1,:,:)\f[R], and 2
corresponds to the sine coefficient \f[C]cilm(2,:,:)\f[R].
.TP
.B \f[C]l\f[R] : input, integer
The spherical harmonic degree.
.TP
.B \f[C]m\f[R] : input, integer
The angular order.
.SH Description
.PP
\f[C]YilmIndexVector\f[R] will calculate the index of a 1D vector of
spherical harmonic coefficients corresponding to degree \f[C]l\f[R],
angular order \f[C]m\f[R] and \f[C]i\f[R] (1 = cosine, 2 = sine).
The elements of the 1D vector array are packed by successive degrees,
where each degree lists the l+1 cosine terms and then the l cosine
terms.
The index is given explicitly by \f[C]l**2+(i-1)*l+m+1\f[R].
.SH See also
.PP
shcilmtovector, shvectortocilm